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Exam (elaborations)

AQA A-level FURTHER MATHEMATICS Paper 3 Mechanics June 2024

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AQA A-level FURTHER MATHEMATICS Paper 3 Mechanics June 2024

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AQA
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A-level
FURTHER MATHEMATICS
Paper 3 Mechanics

Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
 You must have the AQA Formulae and statistical tables booklet for
A-level Mathematics and A-level Further Mathematics. Question Mark
 You should have a graphical or scientific calculator that meets the
1
requirements of the specification.
 You must ensure you have the other optional Question Paper/Answer Book 2
for which you are entered (either Discrete or Statistics). You will have
2 hours to complete both papers. 3
4
Instructions
 Use black ink or black ball-point pen. Pencil should only be used for drawing. 5
 Fill in the boxes at the top of this page.
 Answer all questions. 6
 You must answer each question in the space provided for that question.
7
If you require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s). 8
 Do not write outside the box around each page or on blank pages.
 Show all necessary working; otherwise marks for method may be lost. 9
 Do all rough work in this book. Cross through any work that you do not want
to be marked. TOTAL

Information
 The marks for questions are shown in brackets.
 The maximum mark for this paper is 50.


Advice
 Unless stated otherwise, you may quote formulae, without proof, from the booklet.
 You do not necessarily need to use all the space provided.

,7367/3M

, Answer all questions in the spaces provided. box




1 A particle moves in a circular path so that at time t seconds its position vector, r metres,
is given by

r = 4 sin(2t)i + 4 cos(2t) j

Find the velocity of the particle, in m s–1, when t = 0

Circle your answer.
[1 mark]

8i –8j 8j 8i – 8j




2 As a particle moves along a straight horizontal line, it is subjected to a force
F newtons that acts in the direction of motion of the particle.
t
At time t seconds, F =
5
Calculate the magnitude of the impulse on the particle between t = 0 and t = 3

Circle your answer.
[1 mark]

0.3 N s 0.6 N s 0.9 N s 1.8 N s

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